(11a-b)(11a+b)=

Solution for (11a-b)(11a+b)= equation:

Simplifying
(11a + -1b)(11a + b) = 0

Multiply (11a + -1b) * (11a + b)
(11a * (11a + b) + -1b * (11a + b)) = 0
((11a * 11a + b * 11a) + -1b * (11a + b)) = 0

Reorder the terms:
((11ab + 121a2) + -1b * (11a + b)) = 0
((11ab + 121a2) + -1b * (11a + b)) = 0
(11ab + 121a2 + (11a * -1b + b * -1b)) = 0
(11ab + 121a2 + (-11ab + -1b2)) = 0

Reorder the terms:
(11ab + -11ab + 121a2 + -1b2) = 0

Combine like terms: 11ab + -11ab = 0
(0 + 121a2 + -1b2) = 0
(121a2 + -1b2) = 0

Solving
121a2 + -1b2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'b2' to each side of the equation.
121a2 + -1b2 + b2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
121a2 + 0 = 0 + b2
121a2 = 0 + b2
Remove the zero:
121a2 = b2

Divide each side by '121'.
a2 = 0.008264462810b2

Simplifying
a2 = 0.008264462810b2

Take the square root of each side:
a = {-0.090909091b, 0.090909091b}